Question

Factor completely x^2 + 8x + 15.

O (x+3)(x+5)
O (x+3)(x-5)
O X+1)(x+15)
O(x+1)(x-15)

Answer 1

x<3 and x<5

Explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3) <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5